86272671070656 has 588 divisors, whose sum is σ = 308217321405120. Its totient is φ = 23854175170560.

The previous prime is 86272671070637. The next prime is 86272671070661. The reversal of 86272671070656 is 65607017627268.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 86272671070593 and 86272671070602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 70261800 + ... + 71479128.

Almost surely, 2^{86272671070656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86272671070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154108660702560).

86272671070656 is an abundant number, since it is smaller than the sum of its proper divisors (221944650334464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86272671070656 is a wasteful number, since it uses less digits than its factorization.

86272671070656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217404 (or 1217372 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 86272671070656 in words is "eighty-six trillion, two hundred seventy-two billion, six hundred seventy-one million, seventy thousand, six hundred fifty-six".